Erratum to: Local ill-posedness of the incompressible Euler equations in $$C^1$$ C 1 and $$B^1_{\infty ,1}$$ B ∞ , 1 1
نویسندگان
چکیده
منابع مشابه
Multidimensional Euler – Poincaré equations 1
Given a Lagrangian L : J 1 P → R, with P = M × G → M, invariant under the natural action of G on J 1 P, we deduce the analog of the Euler–Poincaré equations. The geometry of the reduced variational problem as well as its link with the Noether Theorem and an example are also given.
متن کاملIll-posedness for the incompressible Euler equations in critical Sobolev spaces
For the 2D Euler equation in vorticity formulation, we construct localized smooth solutions whose critical Sobolev norms become large in a short period of time, and solutions which initially belong to L∞ ∩ H but escapes H immediately for t > 0. Our main observation is that a localized chunk of vorticity bounded in L∞ ∩H with odd-odd symmetry is able to generate a hyperbolic flow with large velo...
متن کاملChapter 1 Foundations of Elliptic Boundary Value Problems 1 . 1 Euler equations of variational problems
A membrane is a surfacic, in its ground state plane, elastic body, whose potential energy is directly proportional to the change of the surface area. Thus, the ground state can be described by a bounded domain Ω ⊂ lR with boundary Γ = ∂Ω which we assume to be piecewise smooth. Under the influence of a force with density f = f(x), x ∈ Ω, which acts perpendicular to the (x1, x2)-plane, the membra...
متن کاملThe Effects of Resistance Training on VCAM-1, ICAM-1 and CRP in Diabetic Rats
Objective: Many diabetic patients are susceptible to cardiovascular diseases which are known as one of the most important causes of mortality among diabetic patients. The aim of this study was to investigate the effects of eight weeks of resistance training on VCAM-1, ICAM-1 and CRP in diabetic rats. Materials and Methods: In this experimental study, 24 male Sprague- Dawley diabetic rats were ...
متن کامل89!$ 7*+ ,!-." /0 1!2!-3 456 )("&'% !"#$1&AB&9!C&C @($&?+ 7 (:
=> L!"M,0 ) -,N#>< $!"O( !> %C>2DE .: 0 3JF 6 7# KH#2 . 6#! "I >3,H9 3(G3H0! %,X 53( W )> A! :&C .6 #! $1"V 5%N9K @ST .=< UJ 53( :P12Q< A! :&C G!2NRK9 A! :8&C 68,3+< :H8V)>%,( . 68#! =YF W)> A! $13XM#! .=< A! %C>2DE ZY[ 5!"9 G!"4'()*+ KF2 1>2 ",`! 53( ^3# >1 G< :9YF _!2` ) $129 $1A39 "+ 53( =]3F 389 ) :928#>U ( W)> K9 6,3+< : HV)>%,( L!>]2030 B()*+ bC! >1 .6 #! KME"P >!"a ) c38! 53...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2015
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-015-1285-x